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Finding the Fourth Proportional to 408,067.60, 612,101.40 and 405,734.80

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Solution

The fourth proportional to 408,067.60, 612,101.40 and 405,734.80 is: 608,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,067.60 : 612,101.40 = 405,734.80 : x
  2. Step 2: Convert to fraction form
    408,067.60/612,101.40 = 405,734.80/x
  3. Step 3: Cross multiply
    408,067.60x = 612,101.40 × 405,734.80
  4. Step 4: Simplify right side
    408,067.60x = 248,350,839,108.72
  5. Step 5: Solve for x
    x = 248,350,839,108.72/408,067.60
  6. Step 6: Final answer
    x = 608,602.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.